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# Find the smallest positive integer n such that 135n is divisible by 360.

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Find the smallest positive integer n such that 135n is divisible by 360.

Jul 1, 2020

#1
0

The smallest n = 8

135 * 8 =1080

1080 mod 360 = 0

Jul 1, 2020
#2
+25656
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Find the smallest positive integer n such that 135n is divisible by 360.

$$\begin{array}{|rcll|} \hline \text{lcm}(360,135) &=& 1080 \\ 135n &=& 1080 \\ n &=& \dfrac{1080}{135} \\ \mathbf{n} &=& \mathbf{8} \\ \hline \end{array}$$

Jul 2, 2020